Edexcel S2 2008 January — Question 2

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2008
SessionJanuary
TopicBinomial Distribution
TypeIndependent binomial samples with compound probability
2. The probability of a bolt being faulty is 0.3 . Find the probability that in a random sample of 20 bolts there are
  1. exactly 2 faulty bolts,
  2. more than 3 faulty bolts. These bolts are sold in bags of 20. John buys 10 bags.
  3. Find the probability that exactly 6 of these bags contain more than 3 faulty bolts.
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